[PDF] Top 20 Numerical solution of neutron density using the explicit third order, third stage stochastic Runge Kutta method
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Numerical solution of neutron density using the explicit third order, third stage stochastic Runge Kutta method
... of neutron density and the sum of density of precursors found with the RK3-3st method are of greater precision than those reported by the PCA and AEM ...of neutron density and ... See full document
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Design and Analysis of Some Third Order Explicit Almost Runge Kutta Methods
... k = f x + c h Y i = s (7) where Y i is the inner stages that tend to estimate the solutions at some points; s is the number of stages and c i is the points where the function f is computed for a step. ARK methods are a ... See full document
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Trigonometrically-Fitted Diagonally Implicit Two Derivative Runge-Kutta method for the Numerical Solution of Periodical IVPs
... fifth- order DIRK integration formulas for stiff IVPs which are designed to be L-stable ...the method derived is analyzed and numerical results are carried out to verify the ...five stage and ... See full document
10
Second order three stage stochastic Runge Kutta method for nuclear reactors
... is stochastic in nature [2-3]. The density of neutrons and delayed neutron concentrations vary over ...in neutron density and in the concentration of delayed neutrons is representative, ... See full document
8
Two Implicit Runge Kutta Methods for Stochastic Differential Equation
... and Stochastic B-series ...strong order 1.0 2-stage Stochastic Runge-Kutta methods, including semi- implicit and implicit ...strong order 1.0 3-stage semi-implicit ... See full document
6
New S-ROCK methods for stochastic differential equations with commutative noise
... of numerical meth- ods, which are proposed for strong approximations of SDEs; see [5, 15, ...of numerical methods for SDEs is an essential factor in order to avoid possible ...to explicit ... See full document
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Embedded explicit two step Runge Kutta Nyström for solving special second order IVPs
... A third-order three-stage explicit Two-step Runge-Kutta-Nystr¨ om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to ... See full document
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A Family of Higher-Order Implicit Time Integration Methods for Unsteady Compressible Flows.
... diffused using the first order implicit backwards differencing scheme (BDF1), as the error deduced by the first order time integration method becomes overwhelmingly dominant due to the use of ... See full document
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INTEGRATION FOR SPECIAL THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS USING IMPROVED RUNGE-KUTTA DIRECT METHOD
... an explicit four stage fifth-order Improved Runge-Kutta (IRKD) method for numerical integration of special third-order ordinary differential ...The ... See full document
8
Nonstandard explicit third-order Runge-Kutta method with positivity property
... precisely, numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact ...an explicit third-order Runge-Kutta method (we will ... See full document
10
Solving Fuzzy Differential Equations Using Runge-Kutta Third Order Method for Three Stages Contra-Harmonic Mean
... First order linear fuzzy differential equation is one of the simplest fuzzy differential equation, which appear in many ...on numerical solution of fuzzy initial value problems ... See full document
8
Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations
... an explicit stochastic Runge-Kutta-Chebyshev (S-ROCK) method for an Itô-type linear test equation, which is analyzed by applying the techniques based on a discrete semimartingale ... See full document
8
A Numerical Solution of First order Simultaneous Fuzzy Differential Equations by Sixth Order Runge Kutta Method
... [16]. Numerical solution of fuzzy differential equations has been introduced by ...Euler method and by ...Taylor method. Runge-Kutta methods have also been studied by authors [2, ... See full document
10
Axisymmetric Motion of a Proposed Generalized Non-Newtonian Fluid Model with Shear-dependent Viscoelastic Effects
... Abstract—Three-dimensional numerical simulations of non- Newtonian fluid flows are a challenging problem due to the particularities of the involved differential equations leading to a high computational effort in ... See full document
10
Preprints (www.preprints.org) | NOT PEER-REVIEWED | Posted: 13 August 2020 doi:10.20944/preprints202008.0296.v1
... A solution for the Prandtl-Blasius equation is essential to all kinds of boundary layer ...numerical solution. The solutions were obtained from the Maple code, using the ... See full document
6
Exponentially Fitted 2 Step Simpson’s Method for Oscillatory/Periodic Problems
... exact solution u t ( ) = t e α t . With α = 1 , the problem is solved using different values of steplength h and the maximum absolute error for each steplength is obtained as presented in Figure ... See full document
8
On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge Kutta Method*
... Evidently, the newly derived scheme is more accurate as seen from the computational results presented in Table 1, Table 2 and Table 3, since its absolute error is the least of all the methods presented in this paper. It ... See full document
6
Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga- Kutta-Merson-Method under generalized H-differentiability and its Application in Industry
... exact solution ((i)-gH and (ii)-gH) and two numerical methods namely Modified Runge Kutta method and Runge Kutta Mersion method on fuzzy differential ...a ... See full document
18
Mean square numerical solution of stochastic differential equations by fourth order Runge Kutta method and its application in the electric circuits with noise
... are stochastic processes defined on the same probability space (, , P), are pow- erful tools to model real problems with ...merical solution of stochastic initial value problems based on a sample ... See full document
19
Stochastic Runge-Kutta method for stochastic delay differential equations
... that Runge–Kutta methods are natural candidates for solving DDEs because they can be easily modified to handle ...derivative-free method with the order of convergence of at least ... See full document
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